1. Lesson Topic: The Area of Parallelograms Through Rectangle Facts
Lesson Objective: I can…
Show the area formula for the region bounded by a parallelogram by composing it into rectangles.
Understand that the area of a parallelogram is the area of the region bounded by the parallelogram.
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Formatively assess
Review/connect to previous learning
New learning
Why it’s important in the real world to know how to do/example (intro & closing)
Differentiation – physical?
Remind students of behavior goal

2. Review What are some examples of quadrilaterals?
How do we find the area of a rectangle?
What must be true about the relationship between the base and the height?
Rectangles, squares, trapezoids, parallelograms
Base times height
They must be perpendicular (form a right angle), and the height must come from a vertex opposite the base. The height may be the side of a shape, or it may lie inside or outside the shape.
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1 - Draw it

3. Review What makes a quadrilateral a parallelogram?
True or false: A rectangle is a parallelogram.
Predict: How can we find the are of a parallelogram?
It has 2 sets of parallel lines
True, but calling it a rectangle is more specific to the shape.
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2 – raise hand

4. Let’s discover and prove the area formula for parallelograms…
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Discuss – what can we do

5. Discussion
We know the formula for the area of a rectangle is Area = base x height. What is the formula to calculate the area of a parallelogram?
Why is the height the vertical line and not the slanted edge?
The same as a rectangle, A = bh
If we look back to the rectangle we created, the base and height of both the rectangle and the parallelogram are perpendicular to each other. So, the height of a parallelogram is the perpendicular line drawn from the top base to the bottom base.
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2 – raise hand

6. A Different Example…
How could we construct a rectangle from this parallelogram?
Why can’t we use the same method we previously used?
Where is the base and where is the height?
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2 – raise hand

7. Options:
Practice – Pull up exercises on today’s PowerPoint on your iPad and record in your notebook or on a separate sheet of paper
Compose parallelograms into rectangles by cutting and re-arrange their parts like shown in today’s lesson.
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8. Exercises
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9. Exercises, cont.
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10. Exercises, cont.
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11. - Why are the area formulas for rectangles and parallelograms the same
- Why are the area formulas for rectangles and parallelograms the same? - It does not matter how tilted a parallelogram is, the formula to calculate the are will always be the same as the area formula of a rectangle.

12. Evaluate Your Learning
How will you “Sharpen Your Saw”?
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